Optimum Design of Multidischarge Outlet Biomass Briquetting Machine

A high-efficiency biomass material was designed according to the densification mechanism of biomass. .is machine improved the efficiency by recombining the feeding stage, prepressing stage, compaction stage, pressure-holding stage, and pushing stage of the compression process, so that part of the working stages was carried out simultaneously. To further improve efficiency and rationally allocate power at each stage, in this paper, we established a mathematical model for the machine. We use the nonlinear programming in Matlab (2016b) to solve the minimum value of the model, making the machine work time the shortest.


Introduction
In nature, biomass resources are abundant, such as wheat straw, bean straw, straw, and corn straw. Carbon in biomass accounts for a large proportion, among which the carbon content of grain straw and corn straw can reach more than 40% [1]. e mass fraction of sulfur in straw is far less than that of coal, only 0.12%∼0.18% (the mass fraction of sulfur in coal is generally around 0.8%) [2]. e cascading use of biomass to achieve a circular bioeconomy has been considered as a sustainable solution for an environmentally friendly world [3,4]. Producing bioenergy and biofuels to replace fossil fuels has been widely considered as an option of cascading biorefinery [5]. However, the low density, high moisture absorption, and comparatively low heating values of biomass limit the transportation, conversion, and combustion of biomass as solid fuels [6]. e densification of biomass is one of the essential preprocessing steps considered in the biomass conversion process for the successful use of biomass materials in various applications.
is method has more efficient handling, storage, and transportation and uses of these biomass materials [7]. e present biomass material briquetting machine has low compression efficiency and high cost, which is not conducive to the spread of technology and limits the utilization rate of biomass resources [8][9][10].

Densification Mechanism
ere are two main models of the biomass molding process: the stress-strain model and the density-pressure model. e stress-strain model divides the compression process into three stages: prepressing stage, compaction stage, and pressure-holding stage [11,12]. In the prepressing stage, the relative motion distance between the material particles is gradually reduced when the material is squeezed, but the material particles basically have not been deformed and do the irregular motion. It is not usual to model this stage. In the prepressing stage, the pressure increases. e distance among the material particles becomes closer and nested. e elastoplastic deformation of the material is generally represented by the viscoelastic model. is is the most critical stage. In the pressure-holding stage, the compacted material moves towards the outlet under the action of pressure. e phenomenon of stress relaxation (the stress drops slowly after reaching the maximum value) can be modeled by referring to the Burgess model [13,14]. To analyze the density-pressure relation, the Heckel is normally adopted [15]. It reflects the relationship between density and pressure in the forming process.
Both of these models can reflect the nonlinear processes of stress and strain, density, and pressure changes in the compression of birth material [16][17][18]. e force in the compaction stage is the largest cause of the material to undergo plastic deformation. It is a decisive factor in determining the quality of biomass briquetting products [19,20].

Parameter Optimization
3.1. Material Selection. Select common materials, such as beanstalks, sawdust, wood shavings, Arundo donax, and acacia branches. eir density-pressure models are obtained by using the Heckel model. e density of beanstalk before compression was 0.12(g/cm 3 ). Generally speaking, the forming effect of the beanstalk is better, and the surface is basically smooth and clean. When the pressure is 10∼15 MPa, the surface is rough, the material density is low, and the molding block is not compact and easy to fracture. When the pressure is more than 15 MPa, the molding effect becomes better. When the pressure is less than 40 MPa, the density increases at a faster rate as the pressure increases, while when the pressure is more than 40 MPa, the density increases at a slower rate. e fitting equation of density and pressure of beanstalk (Figure 1(a)) is as follows: e density of sawdust before compression was 0.16(g/cm 3 ). e forming pressure is greater than 30 MPa, and the density of the pressing block does not change much with the increase of the pressure, floating up and down in a fixed value. When the pressure is more than 40 MPa, the surface of the forming block is carbonized due to the friction heat generated between the forming block and the mold cavity.
e fitting equation of density and pressure of sawdust ( Figure 1(b)) is as follows: e density of wood shavings before compression was 0.065(g/cm 3 ). e forming blocks are compact. Although cracks appear on the surface of the forming blocks with a pressure of less than 25 MPa after several days of placement, they are not easily broken and still meet the transportation requirements. When the pressure is greater than 40 MPa, the density of the pressing block has little change with the increase of the forming pressure. e fitting equation of density and pressure of wood shavings (Figure 1(c)) is as follows: e density of Arundo donax before compression was 0.155(g/cm 3 ). When the pressure is between 10 MPa and 25 MPa, the density of the pressing block increases with the pressure. When the pressure is greater than 40 MPa, the density of the pressing block is stable. e fitting equation of density and pressure of Arundo donax (Figure 1(d)) is as follows: e density of acacia branches before compression was 0.195(g/cm 3 ). When the pressure is between 10 MPa and 25 MPa, the density of the pressing block increases with the pressure. When the pressure is greater than 35 MPa, the density of the pressing block is stable. e fitting equation of density and pressure of acacia branches (Figure 1(e)) [21,22] is as follows: e target pressures of beanstalks, sawdust, wood shavings, Arundo donax, and acacia branches are 40 MPa, 30 MPa, 40 MPa, 40 MPa, and 35 MPa, respectively. e prepressing pressure is designed to be 10 MPa. In the prepressing stage, the material will be compressed into 1000 cm 3 forming blocks, and then it will be compressed to the target pressure. According to the density-pressure fitting equation, the corresponding density under prepressing pressure and target pressure can be obtained. It can also be obtained that the maximum loading weight of a single prepress cavity is M 0 � ρ 1 × 1000 cm 3 (Table 1).

Design and Principle of Multidischarge Outlet Biomass Briquetting Machine.
e working stages of multidischarge outlets biomass briquetting machine are mainly divided into the feeding stage, prepressing stage, compaction stage, pressure-holding stage, and pushing stage. To improve production efficiency, the time of each stage is overlapped. e biomass briquetting machine is mainly composed of the rotary table, prepressing cavities, prepressing piston rods, compaction cavities, and compaction piston rods. e rotary table has six prepressing cavities, and its cross section is a 100 mm × 100 mm square ( Figure 2). When three cavities are loaded and the other three cavities are precompressed, it has three compacted cavities with a cross section of 100 mm × 100 mm square that can be moved on a V-shaped track. When one of the cavities works as a compacted cavity, the molding blocks from the previous cycle can be simultaneously pushed out. e molding blocks produced by the current cycle can hold pressure while the piston rods are going back. e compaction piston rods are composed of three parallel piston rods, which can simultaneously compress and push out the three forming blocks (Figure 3). e production process of the machine: the hoppers feed the three prepress cavities on the rotary table, and the piston rods preload the other three. e compaction piston rods compact and push out the three molding blocks that are holding pressure in the previous cycle. e compaction and prepressing piston rods return to the starting position and the rotary table rotates 60°. e compaction cavities shift on the V-shaped track (Figure 4). e pressure of the piston rods fast backward is P 3 � 3 MPa. e total power of the machine is 30 kW.

Structural Analysis.
Force analysis of a single compacted piston rod is given in Figure 5). e frictional force F f is negligible during compression. e relationship between the force of the hydraulic cylinder and the resistance of the material can be obtained [23,24]: where F P is the resistance of the material, F is the force of the hydraulic cylinder, 650 kN, and αis the angle between the hydraulic rod and the connecting rod.
It follows that the pressure F P of the compressed piston increases with α ( Figure 6). F increases fastest at α � 60°, so 60 degrees is the boundary. When α <60°is used for preloading, the pistons push the preloaded material into the compacted cavities. When α >60°is used for material compaction.
e length of the connecting rod is designed as L � 380 mm ( Figure 5). It can be concluded that the displacement ∆x of the compaction rod moves with α ( Figure 7):

Complexity 3
where α 0 is the initial angle. It can be seen from Figure 7 that the movement speed of the compressed piston rods gradually decreases. In the process of compaction, the piston rods need to move 100 mm to push the prepressed material into the compaction cavities. In compaction stage, the displacement in the piston rods is less than 50 mm. So, the initial angle α 0 � 42 ∘ can be derived. the compaction initial angle α 2 � 60°.
Substituting (6) in F P � PS, we get where P is the pressure of material resistance and S is the compacting piston head area, 100 mm × 100 mm: where M 0 is the material weight per time and Δl is the length of the side in the material forming process: where b is the side length of the material after precompression, 100 mm: is implicit equation can reflect the relationship between material pressure and α during the compaction stage.
It can be seen from Figure 8 that the material resistance pressure can meet the compression requirements of all kinds of material with the variation trend. During the movement

Hypotheses
(a) e biomass materials used strictly conform to the density-pressure fitting equation. In the process of compression, the mass of the material does not change and the volume decreases. (b) Ignore the start and stop time of each cylinder. e hydraulic cylinder moves at a constant speed. e optimization process ignores the influence of various factors in the process of starting the machine. e target cycle is the working cycle after the machine is working smoothly.

3.4.2.
Modeling. e sequence diagram (Figure 4) shows that the machine has four stages in its working cycle. ey are prepressing stage, compaction stage, fast backward stage, and pressure-holding stage. So, the target function is   Complexity 5 where x 1 is the time of the prepressing stage, s; x 2 is the time of the compaction stage, s; x 3 is the time of the fast backward stage, s; x 4 is the time of the pressure-holding stage, s: Similarly, where x 4 takes a quarter of the total cycle time: where N i is the power of each stage, kw (i � 1, 2, 3).
e objective function can be converted to Bean stalk Saw dust Wood shavings

Conclusions
Nonlinear programming in Matlab (2016b) was used to solve the model minimum value which made the machine work in the shortest time. e average production time of each molding block is 1/3t. e production efficiency and average value can be calculated (Table 2). e calculation results show the following: (1) In the design of multidischarge outlet biomass briquetting machine, reasonably arrange each stage of work, so that some stages at the same time, to improve efficiency. By optimizing the design, the power of each stage of the equipment is allocated reasonably to further improve the production efficiency. Compared with the time it takes to produce a single product by rotary molding machine, the multidischarge outlet biomass briquetting machine has improved [26]. (2) e compression time of the material is related to its compression ratio. For example, the wood chip is compacted inside, with low compression and high compression difficulty. e highest power and longest time are required in the compaction stage, resulting in low production efficiency. erefore, the multidischarge outlet biomass briquetting machine is more suitable for soft and large compression ratio materials. (3) When compressing materials with a low compression ratio, the power of the whole machine can be appropriately increased, to improve the efficiency. For example, increasing the compression power of wood chips to 40 kW can reduce the time to 17.868 s.

Data Availability
e data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest
e authors declare that they have no conflicts of interest.